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Journal of Financial and Quantitative Analysis Vol. 54 No. 6 2019

Volatility-of-Volatility Risk

Darien Huang1,2; Christian Schlag1,2; Ivan Shaliastovich1,2; Julian Thimme

1 California University of Pennsylvania · 2 University of Pennsylvania

Abstract

We show that market volatility of volatility is a significant risk factor that affects index and volatility index option returns, beyond volatility itself. The volatility and volatility of volatility indices, identified model-free as the VIX and VVIX, respectively, are only weakly related to each other. Delta-hedged index and VIX option returns are negative on average and are more negative for strategies that are more exposed to volatility and volatility-of-volatility risks. Further, volatility and volatility of volatility significantly negatively predict future delta-hedged option payoffs. The evidence suggests that volatility and volatility-of-volatility risks are jointly priced and have negative market prices of risk.

DOI
10.1017/s0022109018001436
Volume
54
Issue
6
Pages
2423-2452
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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